This song ins't that tough as far as Steve Morse's guitar work goes. There
are a few tricky parts but I got most of it.
This is the intro, play it 2 times                          figure 1
e-------------------------------t-p-h--------------------t-p--h----------|e
b---------------------------------^-^---t-p-h---t-p--h-----^--^----------|b
g*--------t-p-h--t-p-h--t-p-h---12-(b9)11---^-^-----^--^---15-12-13--------|g
d*-t-p-h----^-^----^-^----^-^-----------12-(b9)11-15-12-13-----------------|d
a----^-^--12-7-(b9)11-7---12-(b9)10------------------------------------------|a
e--12-5-7------------10--------------------------------------------------|e

e---------------------------------|--------------------------------------|e
b-t-p----------h--t-p--p----------|--------------------------------------|b
g---^------------^--^--^---------*|--------------------------------------|g
d-15-13~~~~~~--13-15-13-12~~~~~~-*|--------------------------------------|d
a---------------------------------|--------------------------------------|a
e---------------------------------|--------------------------------------|e

This is the other cool tapping part, Steve and the bass mirror each other.
                                       figure 1b
e---------------------------------------------------|--------------------|e
b--t-h-h-t-h-h--------------------------------------|--------------------|b
g*---^-^---^-^-t-h-h-t-h-h-t-h-h-t-h-h-------------*|--------------------|g
d*--(b9)4-7-(b9)4-5--^-^---^-^---^-^---^-^-t-h-h-t-h-h-*|--------------------|d
a---------------(b9)4-7-(b9)4-5-7-2-5-7-2-3--^-^---^-^--|--------------------|a
e---------------------------------------7-2-5-7-2-3-|--------------------|e

Here the guitar hangs with the oper E and the bass does some stuff with
touch harmonics
            bass touch harmonics
e-----------------------------------------------------------------------e
b                                                                       b
g                                                                       g
d                                                                       d
a                                                                       a
e-0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-e

Now the guitar gets to do some touch harmonics, on the album Steve does it
so clean that you can hardly tell they are harmonics at all
* touch harmonics are made by fretting a note in first position and then
while holding your pick with your middle and thumb fingers and hitting the
note as a harmonic with you index finger in second position.
               b+r        /                          Guitar touch harmonics
e-------------/--\-3-5-------------------------------------------|e
b------------4-------------3~~~~~--/\----------------------------|b
g--35-----------------------------2------/\------------------|g
d----------------------------------------------54245